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Thimo
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I am trying to answer a question about projectile motion were the change in height is that significant that the gravity cannot be assumed constant.
Projectile motion with non-uniform gravity refers to the motion of an object that is launched into the air and experiences varying gravitational force as it moves. This can happen if the object is launched in an area with uneven distribution of mass, such as near a mountain or in space.
In uniform gravity, the gravitational force acting on an object is constant throughout its motion. However, in non-uniform gravity, the gravitational force changes as the object moves, leading to a curved trajectory instead of a straight line.
The main factor that affects projectile motion with non-uniform gravity is the distribution of mass in the environment. Other factors such as air resistance and initial velocity can also have an impact on the trajectory of the object.
To calculate the trajectory of an object in non-uniform gravity, we can use the principles of calculus and differential equations. By taking into account the varying gravitational force and other factors, we can determine the position, velocity, and acceleration of the object at any given time.
One real-life application of projectile motion with non-uniform gravity is in space missions, where the gravitational force of different planets and moons can affect the trajectory of spacecraft. It is also important in the study of celestial bodies and their movements. In sports such as golf and baseball, the curvature of the trajectory of the ball is affected by the non-uniform gravitational force of the Earth.